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Finding the Fourth Proportional to 573.34, 859.61 and 295.02

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Solution

The fourth proportional to 573.34, 859.61 and 295.02 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.34 : 859.61 = 295.02 : x
  2. Step 2: Convert to fraction form
    573.34/859.61 = 295.02/x
  3. Step 3: Cross multiply
    573.34x = 859.61 × 295.02
  4. Step 4: Simplify right side
    573.34x = 253,602.14
  5. Step 5: Solve for x
    x = 253,602.14/573.34
  6. Step 6: Final answer
    x = 442.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.